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Finding the Fourth Proportional to 230,487.26, 345,727.46 and 140,556.40

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Solution

The fourth proportional to 230,487.26, 345,727.46 and 140,556.40 is: 210,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,487.26 : 345,727.46 = 140,556.40 : x
  2. Step 2: Convert to fraction form
    230,487.26/345,727.46 = 140,556.40/x
  3. Step 3: Cross multiply
    230,487.26x = 345,727.46 × 140,556.40
  4. Step 4: Simplify right side
    230,487.26x = 48,594,207,158.74
  5. Step 5: Solve for x
    x = 48,594,207,158.74/230,487.26
  6. Step 6: Final answer
    x = 210,832.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.